{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x=[(397, 109), (417, 119), (425, 126), (418, 132), (429, 132),\n",
    "   (433, 131), (420, 126), (435, 118), (402, 114), (423, 105), (427, 97), (448, 77), (426, 70), (437, 65), (451, 61), (448, 65), (446, 79), (439, 87), (447, 95), (413, 103), (437, 108), (436, 109), (434, 109), (436, 108), (445, 100), (420, 89), (457, 82), (419, 68), (449, 55), (438, 45), (451, 38), (452, 37), (415, 50), (447, 61), (434, 93), (445, 103), (446, 106), (433, 106), (435, 99), (413, 71), (416, 53), (432, 41), (451, 27), (432, 26), (443, 36), (431, 48), (436, 66), (427, 84), (427, 103), (431, 103), (434, 100), (440, 87), (443, 58), (435, 45), (450, 35), (451, 28), (448, 30), (454, 38), (418, 52), (421, 68), (429, 98), (447, 99), (430, 106), (463, 90), (442, 76), (427, 63), (447, 49), (456, 39), (448, 33), (429, 45), (428, 55), (424, 71), (422, 100), (433, 102), (447, 93), (416, 68), (449, 51), (421, 42), (448, 33), (450, 32), (438, 39), (447, 63), (434, 79), (447, 93), (447, 99), (436, 102), (435, 101), (446, 79), (430, 64), (433, 49), (452, 37), (450, 28), (461, 26), (428, 43), (446, 57), (440, 72), (432, 89), (433, 101), (450, 104), (456, 97), (449, 70), (429, 57), (437, 45), (438, 39), (447, 34), (422, 42), (417, 53), (442, 82), (449, 96), (435, 102), (447, 101), (426, 100), (431, 89), (430, 62), (433, 50), (428, 41), (448, 35), (455, 39), (446, 63), (426, 80), (448, 93), (431, 107), (444, 109), (433, 108), (438, 103), (440, 76), (443, 63), (447, 51), (436, 45), (461, 45), (471, 62), (436, 77), (430, 93), (434, 108), (459, 116), (462, 117), (424, 112), (461, 89), (443, 77), (457, 66), (450, 52), (447, 52), (423, 69), (441, 81), (446, 93), (447, 101), (426, 110), (427, 109), (406, 108), (423, 84), (424, 72), (449, 57), (447, 52), (432, 48), (441, 52), (413, 78), (421, 91), (412, 103), (435, 108), (436, 108), (425, 92), (447, 76), (441, 60), (451, 46), (463, 34), (467, 31), (459, 40), (448, 63), (465, 92), (446, 101), (458, 92), (450, 80), (438, 51), (434, 27), (463, 27), (423, 51), (450, 84), (447, 99), (436, 107), (475, 107), (418, 78), (426, 52), (460, 41), (450, 60), (427, 73), (458, 105), (441, 104), (416, 88), (467, 58), (469, 35), (443, 28), (468, 39), (440, 69), (438, 96), (441, 99), (419, 82), (426, 50), (426, 41), (435, 27), (426, 45), (446, 75), (410, 88), (454, 98), (438, 95), (435, 75), (416, 40), (430, 40), (423, 72), (433, 94), (438, 99), (450, 97), (434, 82), (423, 71), (425, 48), (426, 42), (452, 45), (452, 68), (424, 84), (424, 97), (449, 108), (435, 96), (424, 87), (436, 73), (452, 72), (441, 88), (418, 102), (431, 103), (376, 91), (393, 76), (385, 75), (373, 81), (349, 98), (372, 101), (382, 99), (354, 93), (353, 93), (343, 99), (345, 101)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[109, 119, 126, 132, 132, 131, 126, 118, 114, 105, 97, 77, 70, 65, 61, 65, 79, 87, 95, 103, 108, 109, 109, 108, 100, 89, 82, 68, 55, 45, 38, 37, 50, 61, 93, 103, 106, 106, 99, 71, 53, 41, 27, 26, 36, 48, 66, 84, 103, 103, 100, 87, 58, 45, 35, 28, 30, 38, 52, 68, 98, 99, 106, 90, 76, 63, 49, 39, 33, 45, 55, 71, 100, 102, 93, 68, 51, 42, 33, 32, 39, 63, 79, 93, 99, 102, 101, 79, 64, 49, 37, 28, 26, 43, 57, 72, 89, 101, 104, 97, 70, 57, 45, 39, 34, 42, 53, 82, 96, 102, 101, 100, 89, 62, 50, 41, 35, 39, 63, 80, 93, 107, 109, 108, 103, 76, 63, 51, 45, 45, 62, 77, 93, 108, 116, 117, 112, 89, 77, 66, 52, 52, 69, 81, 93, 101, 110, 109, 108, 84, 72, 57, 52, 48, 52, 78, 91, 103, 108, 108, 92, 76, 60, 46, 34, 31, 40, 63, 92, 101, 92, 80, 51, 27, 27, 51, 84, 99, 107, 107, 78, 52, 41, 60, 73, 105, 104, 88, 58, 35, 28, 39, 69, 96, 99, 82, 50, 41, 27, 45, 75, 88, 98, 95, 75, 40, 40, 72, 94, 99, 97, 82, 71, 48, 42, 45, 68, 84, 97, 108, 96, 87, 73, 72, 88, 102, 103, 91, 76, 75, 81, 98, 101, 99, 93, 93, 99, 101]\n"
     ]
    }
   ],
   "source": [
    "h=[y[1] for y in x]\n",
    "print(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 7, 6, 0, -1, -5, -8, -4, -9, -8, -20, -7, -5, -4, 4, 14, 8, 8, 8, 5, 1, 0, -1, -8, -11, -7, -14, -13, -10, -7, -1, 13, 11, 32, 10, 3, 0, -7, -28, -18, -12, -14, -1, 10, 12, 18, 18, 19, 0, -3, -13, -29, -13, -10, -7, 2, 8, 14, 16, 30, 1, 7, -16, -14, -13, -14, -10, -6, 12, 10, 16, 29, 2, -9, -25, -17, -9, -9, -1, 7, 24, 16, 14, 6, 3, -1, -22, -15, -15, -12, -9, -2, 17, 14, 15, 17, 12, 3, -7, -27, -13, -12, -6, -5, 8, 11, 29, 14, 6, -1, -1, -11, -27, -12, -9, -6, 4, 24, 17, 13, 14, 2, -1, -5, -27, -13, -12, -6, 0, 17, 15, 16, 15, 8, 1, -5, -23, -12, -11, -14, 0, 17, 12, 12, 8, 9, -1, -1, -24, -12, -15, -5, -4, 4, 26, 13, 12, 5, 0, -16, -16, -16, -14, -12, -3, 9, 23, 29, 9, -9, -12, -29, -24, 0, 24, 33, 15, 8, 0, -29, -26, -11, 19, 13, 32, -1, -16, -30, -23, -7, 11, 30, 27, 3, -17, -32, -9, -14, 18, 30, 13, 10, -3, -20, -35, 0, 32, 22, 5, -2, -15, -11, -23, -6, 3, 23, 16, 13, 11, -12, -9, -14, -1, 16, 14, 1, -12, -15, -1, 6, 17, 3, -2, -6, 0, 6, 2]\n"
     ]
    }
   ],
   "source": [
    "dh=[y2-y1 for y1,y2 in zip(h[:-1],h[1:])]\n",
    "print(dh)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TzpXNCdKM4sJaj/sO9PfNkCvAr0gSG/60xOo34r3I7EqAKrAzaqmhbvYRbOCD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112a91438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(h)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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g2UfllmJ6n4UZHcNvNPxdC2L4Qy+cmhdf/JLXh5724VHhgXOrydYSEDR844Cf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\nMAzDE/4P55r33s4ZON8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113516400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dh)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_jump_data(fname):\n",
    "    with open(fname,'rb') as f:\n",
    "        pos_li=pickle.load(f)\n",
    "        h=[y[1] for y in pos_li]\n",
    "        plt.plot(h)\n",
    "        plt.show()\n",
    "        dh=[y2-y1 for y1,y2 in zip(h[:-1],h[1:])]\n",
    "        plt.plot(dh)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JHJlvdW0NP8DCv2S88vwxFHIOvpURxZ0KSAjIclHJ3XTE7zkCo2U/JWz03NWV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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112ca06a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ITl+mCFdFEJM13Pp4052O24pDyeM7dBPXeXfovMNAe/7pPJ6xTy7fymfuJKK6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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11325ccf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_jump_data('top_pos_list')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HXkivNAG8lnN+MYBLALyRMXYlgL8G8BnO+SYA8wBudh5/M4B55/7POI8jToFXbxnC88fy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\nHesm5D3mXfsqImU4BSN60a4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9wSWPXloZK4l12KhuKGWgXKujYFqB8g/ytXM9eLkDllJT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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113409e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AwTkHYyz3XkB/HZ6drYuddJEjODBdRdOPYFtM+3wniKyhDmLx7V8/iAunhnHz1dtzz2Ud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\nEVy2bRT/73tHhRB86/U78b1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Xbxd9espOmqtOO3xHEouDMMKWhFaaq7fxxMlFkXGSiwh6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\nH3QMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112f3a5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_jump_data('top_pos_list-2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    ""
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3.0
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}